English

Cohen-Macaulay edge-weighted graphs of girth $5$ or greater

Commutative Algebra 2023-09-26 v2 Combinatorics

Abstract

Let GωG_\omega be an edge-weighted graph whose underlying graph is GG. In this paper, we enlarge the class of Cohen-Macaulay edge-weighted graphs GωG_\omega by classifying completely them when the graph GG has girth 55 or greater.

Keywords

Cite

@article{arxiv.2309.05056,
  title  = {Cohen-Macaulay edge-weighted graphs of girth $5$ or greater},
  author = {Truong Thi Hien},
  journal= {arXiv preprint arXiv:2309.05056},
  year   = {2023}
}